STATEMENT OF THE PROBLEM In solving problems 1-25, first write the statement of the problem; thus: of (price per ton) is $4, etc. 1. If § of a ton of coal costs $4, what is the price per ton? 2. .025 of $5600 is how much money? 3. A merchant sells cloth so as to gain $.20 on a yard. This is .40 of the cost. Find the cost of a yard. 4. Joseph earned $17, and used .62 of it to help his mother pay the rent of her house. How much did he give toward the rent? 5. If Mary earned $1.60 and gave her mother $.40, what decimal part of her money did she give her mother? 6. A merchant sold cloth for cloaks at $3.30 per yard. This was 1.65 times as much as it cost. What did it cost? 7. The list price of suits for a baseball team was $4.75 apiece. The dealer sold 11 suits for .80 of the list price. How much did he receive for them? 8. An engineer who receives $190 a month and spends $95 a month saves how many hundredths of his earnings? 9. Monroe paid for chicken-feed .70 of all the money he received for eggs. If the chicken-feed cost $35, what did he receive for eggs? 10. Two thirds of a carload of grain was lost in a wreck. If 450 bushels were lost, how many bushels were there in the carload? 11. Tom was absent from school two days in a year. If there were 200 days of school in the year, what per cent of the time did Tom lose? 12. A suit marked $48 was sold late in the season for $40. The reduction was what per cent of the marked price? 13. By selling his automobile for $1860, Dr. Smith received .66% of its cost. What did it cost? 14. .22 of a rod is how many feet? 15. Lewis wants a bicycle. In 21 days he can earn .42 of the money with which to buy it. How many days must Lewis work in order to earn the bicycle? 16. Mr. Johnson's store caught fire, and his goods were damaged by smoke and water, so that he sold them for .35 of their cost. (a) What did he receive for 38 yd. of lace that cost $.25 a yard? (b) What was the cost of a coat that sold for $7? (c) How much did he lose on a table that cost $15? 17. .49 of a number is 19.6. (a) Find the number. (b) Find .62 of the number. 18. of á certain number is 63. Find .37 of the number. (How many statements?) 19. Mr. Byrne bought a house for $1200 and sold it for $1800. The gain was what decimal part of the cost? 20. 3 inches are how many hundredths of 3 feet? 21. I borrowed $250. When I paid it back, I paid my creditor $250 and .05 as much for the use of the money. How much did I pay in all? 22. The width of my garden is 48 feet, which is .80 of the length. Find the length. 23. Eldred sold his bicycle for $10.50, which was .35 of its cost. What did it cost? 24. There were 50 words in the spelling lesson and Charlotte missed two. How many hundredths of the words did she spell correctly? 25. Raymond shovels the snow from 80 feet of sidewalk. After shoveling .25 of the walk, how many feet more must he shovel? PER CENTS EQUIVALENT TO COMMON FRACTIONS 203 PER CENTS EQUIVALENT TO COMMON FRACTIONS All percentage problems may be solved in decimals. But in many cases, as we shall see, the work may be shortened by changing the per cents to common fractions. For example, if a merchant desires to sell goods at a discount in order to dispose of them, when the season is nearly over, he may sell them at a discount of 50%, or at price. Goods marked at $4.00 would then sell for of $4.00 or $2.00. If he makes a discount of 331% from the marked price, he would deduct of the marked price. Goods marked $1.50 would be sold at a reduction of of $1.50, or $.50 less than $1.50. An article marked $8 and sold at a discount of 25% would have of the marked price taken off, and would be sold for $8 - $2, or $6. Oral 1. The whole of anything is how many hundredths of it? What per cent of it? 2. of anything is how many hundredths of it? ? f? b? q? ? ? !? g? 7 ? ? ? ? 20 ? 3. What common fraction is the same as .10? .20? .30? .40? .50? .60? .70? .80? .90? .25? .334? .14? .621? .37? .663? .12? .87? .75? .16? .05? 4. What per cent is the same as ? ? ? ? ? ? 1? 1? 11⁄2? ? ? ? ?? ?? ? 3 ? ƒ? 8 ? ? ?? 16 Answer the following questions, using common fractions instead of decimals when it is easier to do so. 7. I saw straw hats in a window marked as follows: $1.50, $4.50, $1.20, $2.70, $2.25. How much would be taken off from the price of each one if they were marked down 331%? 8. Mr. Arnold raised 240 bushels of potatoes and saved 121% of them for seed. How many bushels did he save for seed? 9. Roger earned $80, and put 874% of it in the bank. How much money did he put in the bank? 10. $2 union suits are marked down 25%. At what price are they sold? 11. How much do I save on a $30 overcoat by waiting until it is marked down 163%? 12. What is the per cent of reduction when women's handbags, marked $1.20, are sold at $1.00? 13. What is the cost of a $1.50 theater ticket including a war tax of 10%? 14. 80% of the people in a city of 95,000 population are native born. How many are foreign born? 15. Mr. Burns bought a house for $4300, and paid 75% of it. How much was left unpaid? 16. Find the cost of one lower and one upper berth from Washington to Philadelphia, the lower costing $2.00 and the upper 20% less. 17. How much is the 10% war tax on both tickets in question 16? MENTAL DRILL IN PERCENTAGE (For class use, not for assignment.) In the following exercises, first read the question as given, then repeat it, substituting the equivalent fraction for the rate per cent; thus: "20% of § I? 1. 20% of § = 2. 40% of $100 3. 90% of $200 4. 621% of 24¢ of, or 5. 61% of 16 days 6. 60% of 50 ft. 21. 3 months are what per cent of 18 months? 22. 3 books are what per cent of 15 books? 23. $7 are what per cent of $84? 24. 9 men are 75% of how many men? 25. 10 min. are 163% of what? 26. 2 is what per cent of 40? 27. 80% of 35¢ is what? 28. 20% of my money is 16¢. How much money have 29. 8 cents are 662% of what? 30. Each member of the class make a problem having a per cent equal to a common fraction. |
